Travaux de Gabber sur l'uniformisation locale et la cohomologie étale des schémas quasi-excellents. Séminaire à l'École polytechnique 2006-2008

By L. Illusie, Yves Laszlo, Fabrice Orgogozo. 2012

160 citations recorded by the source corpus.

This book contains notes of a seminar on Ofer Gabber's work on the etale cohomology and uniformization of quasi-excellent schemes. His main results include (cf. introduction) constructibility theorems (for abelian or non-abelian coefficients), vanishing theorems (e.g. affine Lefschetz), uniformization for the "prime-to-l alteration topology", rigidity for non-abelian coefficients, a new proof of the absolute purity conjecture, duality, etc.

View Paper: https://www.semanticscholar.org/paper/215a455ab094594f724d4483178066c53f80f0f0